How do you find the equation of a circle with center?
The equation of circle with (h,k) center and r radius is given by: (x-h) 2 + (y-k) 2 = r 2. Thus, if we know the coordinates of the center of the circle and its radius as well, we can easily find its equation. Example: Say point (1,2) is the center of the circle and radius is equal to 4
What is the formula to find the radius of a circle?
Therefore, the radius of a circle is CP. By using distance formula, (x-h) 2 + (y-k) 2 = CP 2. Let radius be ‘a’. Therefore, the equation of the circle with centre (h, k) and the radius ‘ a’ is, (x-h) 2 +(y-k) 2 = a 2. which is called the standard form for the equation of a circle. Equation of a Circle in General Form
What is the mathematical way to describe a circle?
The mathematical way to describe the circle is an equation. Here, the equation of the circle is provided in all the forms such as general form, standard form along with the examples. Consider an arbitrary point P(x, y) on the circle. Let ‘ a’ be the radius of the circle which is equal to OP.
Which is the standard form for the equation of a circle?
which is called the standard form for the equation of a circle. Equation of a Circle in General Form The general equation of any type of circle is represented by: x2 + y2 + 2gx + 2fy + c = 0, for all values of g, f and c.
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What is the distance between the foci of an ellipse?
If the major axis of the ellipse is 17 & the area of the triangle PF 1 F 2 is 30, then the distance between the foci is less than Point `O’ is the centre of the ellipse with major axis AB and minor axis CD. Point F is one focus of the ellipse.
What is the standard form of the circle equation?
Standard form of circle equation is (x – a) 2 + (y – b) 2 = r 2 Substituting the values of centre and radius, (x – 2) 2 + (y – 3) 2 = 1 2 x 2 – 4x + 4 + y 2 – 6y + 9 = 1